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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 348726.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.j1 | 348726j1 | \([1, 1, 0, 1722, -6300]\) | \(82256120549/50703408\) | \(-347774675472\) | \([]\) | \(771840\) | \(0.90371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.j do not have complex multiplication.Modular form 348726.2.a.j
sage: E.q_eigenform(10)